# Reduce the following equation into slope - intercept form and find their slopes and the $y$ - intercepts. $6x+3y-5=0$

$\begin{array}{1 1}(A)\;m = -2 ; c = \large\frac{5}{3} \\(B)\; m = 2; c = -\large\frac{5}{3} \\(C)\; m = \large\frac{1}{2} ; c = \large\frac{5}{3} \\(D)\;m = -\large\frac{1}{2} ; c = -\large\frac{5}{3} \end{array}$

Toolbox:
• Slope intercept form of an equation is $y=mx+c$ where $m$ is the slope and $c$ is the $y$ intercept
Given equation is $6x+3y-5=0$
This can be written as
$\qquad 3y=-6x+5$
$\quad \Rightarrow y = -\large\frac{6}{3}$$x+\large\frac{5}{3}$
or $y= -2x+5$
This is of the form $y=mx+c$
Here $m = -2$ and $c = \large\frac{5}{3}$
Hence the slope is $-2$ and $y$ intercept is $\large\frac{5}{3}$